Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cx |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1441792 |
Modular degree for the optimal curve |
Δ |
-137521314304819200 = -1 · 216 · 34 · 52 · 7 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,111079,-10728135] |
[a1,a2,a3,a4,a6] |
Generators |
[274:-6485:1] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
13.37468935778 |
L(r)(E,1)/r! |
Ω |
0.17969892072474 |
Real period |
R |
0.58147127447224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210e1 |
Quadratic twists by: -23 |